The number 13704
13704 is a composite number with 16 divisors. Its prime factorisation is × 3 × 571. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 571, 1142, 1713, 2284, 3426, 4568, 6852, 13704.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13704 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13704 is composite. Its prime factorisation is
- 3
The divisors add up to 34320; without 13704 itself that is 20616, so 13704 is abundant (20616 is more than 13704). Euler's totient φ(13704) = 4560 numbers up to 13704 share no factor with it.
- 4
The digits of 13704 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13704 = 2^{3} \times 3 \times 571 \]13704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 34320 |
| Euler totient φ(n) | 4560 |
| Square | 187799616 |
| Cube | 2573605937664 |
| Square root | 117.064085 (= 2√3426) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.3704 × |
13704 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and four |
| Binary (base 2) | 11010110001000 |
| Octal (base 8) | 32610 |
| Hexadecimal (base 16) | 3588 |
| Base 3 | 200210120 |
| As time | 13704 seconds = 3 h 48 min 24 s |
Is 13704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13704 ÷ 2 = 6852) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13704 ÷ 3 = 4568) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13704 ÷ 4 = 3426) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (13704 ÷ 6 = 2284) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (13704 ÷ 8 = 1713) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (13704 ÷ 12 = 1142) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13704 a prime number?
No. 13704 = × 3 × 571, so it is divisible by 2.
What are the factors of 13704?
1, 2, 3, 4, 6, 8, 12, 24, 571, 1142, 1713, 2284, 3426, 4568, 6852, 13704.
What is 13704 in binary?
11010110001000 (hexadecimal 3588, octal 32610).
What is the square root of 13704?
About 117.0641, exactly 2√3426.
Is 13704 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 13704?
It is a composite number with 16 divisors.